Search a number
-
+
61690454400 = 273529416829
BaseRepresentation
bin111001011101000010…
…011010000110000000
312220020022110210020110
4321131002122012000
52002320224020100
644201252311320
74312514132121
oct713502320600
9186208423213
1061690454400
1124187720513
12bb58012540
135a81a43973
142db31b2048
151910d6d250
hexe5d09a180

61690454400 has 192 divisors, whose sum is σ = 203438653200. Its totient is φ = 16430899200.

The previous prime is 61690454383. The next prime is 61690454411. The reversal of 61690454400 is 445409616.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9030186 + ... + 9037014.

Almost surely, 261690454400 is an apocalyptic number.

61690454400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61690454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101719326600).

61690454400 is an abundant number, since it is smaller than the sum of its proper divisors (141748198800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61690454400 is a wasteful number, since it uses less digits than its factorization.

61690454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 61690454400 in words is "sixty-one billion, six hundred ninety million, four hundred fifty-four thousand, four hundred".